ITP|
|
SS22 – Abstract
Yacine Mehtar-Tani
(Brookhaven National Laboratory)
2.6.2022
Quantum induced anomalous diffusion in QCD matter
Transverse momentum diffusion of energetic partons in QCD matter plays a central role in a variety of processes studied at colliders to probe QCD, ranging from transverse momentum dependent parton distribution functions that encode information on the 3D structure of the proton and nuclei in electron-proton or proton-proton collisions to jet suppression and thermalization in heavy ion collisions.
In this talk, I will discuss the leading quantum corrections to the transverse momentum diffusion of high energy partons in large QCD media. I show that the resummation to all orders of double logarithmic contributions from gluon radiation yields a universal distribution for large system sizes. This universal distribution exhibits anomalous scaling of super diffusive type caused by non-local quantum effects, in contrast with normal diffusion seen at tree level, and a heavy tail at large transverse momentum, akin to Lévy random walks. Exploiting a formal analogy with traveling waves in reaction-diffusion processes, I will show that the universal pre-asymptotic solutions for fixed and running coupling can be derived systematically.
